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Finding the Fourth Proportional to 129,630.80, 194,057.40 and 77,013.20

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Solution

The fourth proportional to 129,630.80, 194,057.40 and 77,013.20 is: 115,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,630.80 : 194,057.40 = 77,013.20 : x
  2. Step 2: Convert to fraction form
    129,630.80/194,057.40 = 77,013.20/x
  3. Step 3: Cross multiply
    129,630.80x = 194,057.40 × 77,013.20
  4. Step 4: Simplify right side
    129,630.80x = 14,944,981,357.68
  5. Step 5: Solve for x
    x = 14,944,981,357.68/129,630.80
  6. Step 6: Final answer
    x = 115,288.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.